Unterschiede
Hier werden die Unterschiede zwischen zwei Versionen angezeigt.
| Beide Seiten der vorigen RevisionVorhergehende ÜberarbeitungNächste Überarbeitung | Vorhergehende Überarbeitung | ||
| en:materialdaten:rheologische_materialdaten [2025/05/15 15:45] – [Flow behaviour of plastics] cschall | en:materialdaten:rheologische_materialdaten [2025/05/15 15:49] (aktuell) – [Pressure shift factor β] cschall | ||
|---|---|---|---|
| Zeile 66: | Zeile 66: | ||
| The temperature dependence is taken into account by the temperature shift factor $a_T$, which can be described in three different ways | The temperature dependence is taken into account by the temperature shift factor $a_T$, which can be described in three different ways | ||
| - | ===Carreau-WLF | + | ===Carreau-WLF (T_B, T_S)=== |
| \[log(a_T) = \frac {C_1\cdot(T_B-T_S)} {C_2+(T_B-T_S)} - \frac {C_1\cdot(T-T_S)} {C_2+(T-T_S)}\] | \[log(a_T) = \frac {C_1\cdot(T_B-T_S)} {C_2+(T_B-T_S)} - \frac {C_1\cdot(T-T_S)} {C_2+(T-T_S)}\] | ||
| - | $T_B$, $T_S$ are given, $C_1 = 8,86$, $C_2 = 101,6$ | + | $T_B$, $T_S$ must be provided, $C_1 = 8,86$, $C_2 = 101,6$ |
| with: $T_B$ = reference temperature, | with: $T_B$ = reference temperature, | ||
| Zeile 78: | Zeile 78: | ||
| \[ln(a_T) = - \frac {C_1 \cdot (T-T_B)} {C_2+(T-T_B)}\] | \[ln(a_T) = - \frac {C_1 \cdot (T-T_B)} {C_2+(T-T_B)}\] | ||
| - | $C_1$, $C_2$, $T_B$ are given | + | $C_1$, $C_2$, $T_B$ must be provided |
| - | **with**: $T_B$ = reference | + | **with**: $T_B$ = reference temperature, |
| === Carreau-Arrhenius (E, T_B) === | === Carreau-Arrhenius (E, T_B) === | ||
| Zeile 86: | Zeile 86: | ||
| $$ln(a_T)=\frac{E}{R} (\frac{1}{T}-\frac{1}{T_B}) $$ | $$ln(a_T)=\frac{E}{R} (\frac{1}{T}-\frac{1}{T_B}) $$ | ||
| - | **with**: $E$ = activating energy, $R$ = gas constant, $K_{0T}$ = physical size at the temperature | + | **with**: $E$ = activating energy, $R$ = gas constant, $T_B$ = reference |
| - | + | ||
| - | With the Carreau-law the polymer specific material behavior can be described over | + | |
| - | large shear rate and temperature areas. | + | |
| ==== Pressure shift factor β ==== | ==== Pressure shift factor β ==== | ||
| Zeile 97: | Zeile 94: | ||
| $$ a_p = exp(\beta \cdot (p-p_B))$$ | $$ a_p = exp(\beta \cdot (p-p_B))$$ | ||
| - | with the pressure | + | with the pressure |
| {{ : | {{ : | ||